{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Main.FractionalFlow"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, Dierckx, Statistics, NLopt\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x000000002948CD68>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.225543344, kro0=0.2335, \n",
    "    swc=0.170588235, sor=0.33917, nw=2.0, no = 2.0)\n",
    "# FF.visualize(rel_perms)\n",
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=0.4904e-3, mu_oil=3.039e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "# FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "# tight_layout()\n",
    "core_flood = FF.core_flooding(u_inj=1.50E-06, pv_inject=20.666, \n",
    "    p_back=2.7579e+7, sw_init=0.170588235, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties(L=0.01079, D=0.03761, φ=0.4264, k=4.84E-16, a=2000, ρ=2700)\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = range(0,stop=1,length=100)\n",
    "\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:00:02\u001b[39m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 14.386666666666665, 14.93657011887767, 15.511666258358815, 16.113899380575344, 16.745343720826227, 17.408213547486632, 18.104874154157663, 18.837853841966698, 19.609856993908195  …  22281.175248261403, 24584.322405552895, 27232.236026094277, 30299.791772093664, 33884.18185574817, 38113.585058073, 43160.08091780182, 49259.37153602065, 56741.74947351928, 63387.526730666665], [0.0, 0.004690431519699812, 0.004869714500587827, 0.005057210959773187, 0.005253554788687805, 0.005459422242565154, 0.005675535231102637, 0.005902664902191353, 0.006141635548460993, 0.006393328869858631  …  7.264248842474554, 8.015135359230836, 8.878424805979892, 9.878528616879228, 11.047134008024214, 12.426030631497595, 14.07132094042994, 16.059850015742935, 18.499301914747807, 20.666], [0.0, 0.005655130198975013, 0.005871286984367538, 0.006097346545009635, 0.006334073147163502, 0.006582282134019333, 0.006842843893157121, 0.007116688177354159, 0.007404808814597457, 0.007708268847380931  …  0.541910479171103, 0.5453359223683606, 0.5486961539145692, 0.5519886303614082, 0.5552104652403614, 0.5583583462259577, 0.5614284290127207, 0.5644162014276288, 0.5673163059048637, 0.5694459665967828], [435222.3175889714, 433882.6634467691, 433755.8972648792, 433621.2990979925, 433478.91180822253, 433328.6688570492, 433170.4088788815, 433003.8915605284, 432828.8112075925, 432644.804214593  …  85960.85265092552, 84862.18306199834, 83805.70303146169, 82790.59426156431, 81816.15935954824, 80881.83817002177, 79987.22923166305, 79132.1177290678, 78316.51271621138, 77726.51689735427], [0.0, 0.0002158, 0.0004316, 0.0006474, 0.0008632, 0.0010789999999999999, 0.0012948, 0.0015106, 0.0017264, 0.0019421999999999998  …  0.0088478, 0.0090636, 0.0092794, 0.009495199999999999, 0.009711, 0.0099268, 0.0101426, 0.0103584, 0.010574199999999999, 0.01079], [1.0, 0.658898823435609, 0.6580317864599969, 0.6572181355120161, 0.656434176588174, 0.6556708297746119, 0.6549234757244615, 0.6541893825190007, 0.6534667692499799, 0.6527543922416004  …  0.6332391177420236, 0.6327046011191981, 0.6321737245141477, 0.63164643230601, 0.6311226701839171, 0.6306023854548374, 0.630085526874992, 0.6295720445995886, 0.6290618899678506, 0.6288076385296069], [1.0, 0.9999999999922975, 0.9999999999899918, 0.999999999990119, 0.999999999985473, 0.9999999999787289, 0.9999999999732042, 0.9999999999695762, 0.9999999999697491, 0.9999999999667795  …  1.000000000000505, 1.0000000000004345, 1.0000000000028488, 1.0000000000000118, 0.9999999999978858, 0.9999999999994911, 0.9999999999995329, 1.0000000000009848, 0.9999999999989219, 0.9999999999942851], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  1.0000000000255733, 1.0000000000172, 1.0000000000252434, 1.0000000000369165, 1.0000000000619857, 1.000000000023843, 1.000000000045209, 0.9999999999964159, 1.0000000000193119, 0.9999999999942851])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv, rec_fact, dp_core, x, sw_face, c_face, c_out_sal=FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood, Nx=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# synthetic experimental data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x000000003348F5F8>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x000000003662D048>)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_exp_dp = wf_res.dp_time[:,1]\n",
    "dp_exp = wf_res.dp_time[:,2]\n",
    "t_exp_R = wf_res.recovery_time[:,1]\n",
    "R_exp = wf_res.recovery_time[:,2]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x0000000029557D30>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(t_exp_dp, dp_exp, \"o\", t_sec, dp_core)\n",
    "legend([\"Analytical\", \"Numerical\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x0000000029391160>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(t_exp_dp, R_exp, \"o\", t_sec, rec_fact)\n",
    "legend([\"Analytical\", \"Numerical\"])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.3.0",
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